3.2)Show that, in a typical Ekman spiral solution with a constant verticaleddy viscosity A¸, the bottom stress 7,), if expressed in the complex formyB+ ityBcan be written as= T'BxBpfD,V.E4ewhere DE= T2A/f is the Ekman layer depth and V,=u. + iv.

3.2) Show that, in a typical Ekman spiral solution with a constant vertical eddy viscosity A¸, the bottom stress i, = (T. yB „T), if expressed in the complex form %3D T = TR +it yB can be written as B xB pfD, 'B V27 EV 4 %3D where D. = x /2A /f is the Ekman layer depth and V = u_ +iv_ .

3.2) Show that, in a typical Ekman spiral solution with a constant vertical eddy viscosity A¸, the bottom stress i, = (T. yB „T), if expressed in the complex form %3D T = TR +it yB can be written as B xB pfD, 'B V27 EV 4 %3D where D. = x /2A /f is the Ekman layer depth and V = u_ +iv_ .

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

3.2)
Show that, in a typical Ekman spiral solution with a constant vertical
eddy viscosity A¸, the bottom stress 7,
), if expressed in the complex form
yB
+ it
yB
can be written as
= T
'B
xB
pfD,
V.
E
4
e
where DE
= T2A/f is the Ekman layer depth and V,
=u. + iv.

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